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Finding the Fourth Proportional to 6,286.92, 8,682.24 and 5,178.84

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Solution

The fourth proportional to 6,286.92, 8,682.24 and 5,178.84 is: 7,151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.92 : 8,682.24 = 5,178.84 : x
  2. Step 2: Convert to fraction form
    6,286.92/8,682.24 = 5,178.84/x
  3. Step 3: Cross multiply
    6,286.92x = 8,682.24 × 5,178.84
  4. Step 4: Simplify right side
    6,286.92x = 44,963,931.80
  5. Step 5: Solve for x
    x = 44,963,931.80/6,286.92
  6. Step 6: Final answer
    x = 7,151.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.